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Finding the Third Proportional to 30,225.75 and 64,911.75

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Solution

The third proportional to 30,225.75 and 64,911.75 is: 139,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.75 : 64,911.75 = 64,911.75 : x
  2. Step 2: Convert to fraction form
    30,225.75/64,911.75 = 64,911.75/x
  3. Step 3: Cross multiply
    30,225.75x = 64,911.75 × 64,911.75
  4. Step 4: Simplify right side
    30,225.75x = 4,213,535,288.06
  5. Step 5: Solve for x
    x = 4,213,535,288.06/30,225.75
  6. Step 6: Final answer
    x = 139,402.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.